Integer and Fractional General <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.06580067pt" id="M1" height="11.6891pt" version="1.1" viewBox="-0.0657574 -11.6233 11.2412 11.6891" width="11.2412pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g50-85" d="M655 676H628C608 656 600 650 571 650H156C118 650 114 651 102 676H77C63 615 45 548 24 485L60 486C81 531 97 562 114 580C134 603 148 611 252 611H308L217 127C201 41 196 38 105 32L98 0H384L393 32C300 38 288 41 304 127L393 611H466C553 611 571 604 582 580C592 559 597 530 595 485L630 489C636 548 645 624 655 676Z"/></g></svg>-System and Its Application to Control Chaos and Synchronization

<div>Periodic solution for the fractional general <svg height="8.85534pt" id="M493" style="vertical-align:-0.04981041pt" version="1.1" viewbox="-0.0498162 -8.80553 8.51608 8.85534" width="8.51608pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M655 676H628C608 656 600 650 571 650H156C118 650 114 651 102 676H77C63 615 45 548 24 485L60 486C81 531 97 562 114 580C134 603 148 611 252 611H308L217 127C201 41 196 38 105 32L98 0H384L393 32C300 38 288 41 304 127L393 611H466C553 611 571 604 582 580C592 559 597 530 595 485L630 489C636 548 645 624 655 676Z" id="g50-85"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="673" vert-adv-y="673"></glyph.data></g></svg> system (<a href="https://static.hindawi.com/articles/aaa/volume-2015/413540/figures/#EEq6">6</a>) when <svg height="12.3393pt" id="M494" style="vertical-align:-3.05097pt" version="1.1" viewbox="-0.0498162 -9.28833 47.6545 12.3393" width="47.6545pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M460 334C460 396 434 451 378 451C330 451 241 408 148 300H146L237 679C241 697 241 710 232 710C213 710 153 684 67 675L66 646H95C141 646 145 642 134 595L39 170C23 97 31 54 46 33C64 8 100 -12 137 -12C178 -12 234 3 298 43C391 101 460 222 460 334ZM371 320C371 204 316 89 248 51C230 41 208 37 192 37C143 37 102 72 119 166C124 194 129 215 135 235C202 323 298 392 335 392C353 392 371 372 371 320Z" id="g50-99"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="478" vert-adv-y="478"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,5.109,3.001)"><path d="M389 0V32C297 37 291 46 291 118V635C234 612 176 595 109 583V556L161 554C203 551 207 548 207 497V118C207 46 201 37 110 32V0H389Z" id="g58-47"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,13.731,0)"><path d="M556 331V384H55V331H556ZM556 140V193H55V140H556Z" id="g54-34"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="611" vert-adv-y="611"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,25.349,0)"><path d="M389 0V32C297 37 291 46 291 118V635C234 612 176 595 109 583V556L161 554C203 551 207 548 207 497V118C207 46 201 37 110 32V0H389Z" id="g58-47"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,31.68,0)"><path d="M141 347C170 480 264 541 327 570C364 587 403 598 436 605L429 641C389 634 339 622 300 609C192 569 37 458 37 239C37 86 126 -12 245 -12C367 -12 454 89 454 210C454 314 379 397 272 397C252 397 231 391 208 380L141 347ZM231 338C323 338 366 257 366 174C366 107 339 27 263 27C180 27 129 123 129 244C129 268 130 291 135 310C158 323 192 338 231 338Z" id="g58-52"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,38.011,0)"><path d="M117 -12C153 -12 178 12 178 50C178 84 153 110 118 110C84 110 59 84 59 50C59 12 84 -12 117 -12Z" id="g50-47"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="237" vert-adv-y="237"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,41.092,0)"><path d="M141 347C170 480 264 541 327 570C364 587 403 598 436 605L429 641C389 634 339 622 300 609C192 569 37 458 37 239C37 86 126 -12 245 -12C367 -12 454 89 454 210C454 314 379 397 272 397C252 397 231 391 208 380L141 347ZM231 338C323 338 366 257 366 174C366 107 339 27 263 27C180 27 129 123 129 244C129 268 130 291 135 310C158 323 192 338 231 338Z" id="g58-52"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg>.</div>

Abstract and Applied Analysis

fig15

Figure 15

Figure 15: Integer and Fractional General <svg xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg" style="vertical-align:-0.06580067pt" id="M1" height="11.6891pt" version="1.1" viewBox="-0.0657574 -11.6233 11.2412 11.6891" width="11.2412pt"><g transform="matrix(.017,0,0,-0.017,0,0)"><path id="g50-85" d="M655 676H628C608 656 600 650 571 650H156C118 650 114 651 102 676H77C63 615 45 548 24 485L60 486C81 531 97 562 114 580C134 603 148 611 252 611H308L217 127C201 41 196 38 105 32L98 0H384L393 32C300 38 288 41 304 127L393 611H466C553 611 571 604 582 580C592 559 597 530 595 485L630 489C636 548 645 624 655 676Z"/></g></svg>-System and Its Application to Control Chaos and Synchronization 

Abstract and Applied Analysis

Integer and Fractional General -System and Its Application to Control Chaos and Synchronization

Figure 15