Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator

<div>The different fractional-order of <svg height="11.7782pt" id="M173" style="vertical-align:-3.42938pt" version="1.1" viewbox="-0.0498162 -8.34882 38.4324 11.7782" width="38.4324pt" 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="M583 333C583 398 556 448 506 448C465 448 403 428 328 383C238 329 167 252 115 162C110 186 106 208 106 232C106 311 133 374 194 424L176 448C81 390 29 315 29 201C29 144 44 95 69 62C43 -14 29 -91 29 -141C29 -196 67 -261 115 -261C181 -261 246 -214 246 -126C246 -76 228 -51 192 -8C163 27 152 43 138 86C174 178 224 250 294 305C361 358 425 392 461 392C479 392 496 372 496 316C496 199 462 38 386 38C366 38 340 66 324 108C322 114 307 116 298 111C277 99 270 84 270 65C270 29 304 -12 358 -12C384 -12 423 3 469 41C535 96 583 223 583 333ZM198 -142C198 -181 173 -205 149 -205C122 -205 94 -174 94 -121C94 -92 101 -42 114 6C157 -37 198 -83 198 -142Z"></path></g><g transform="matrix(.013,0,0,-0.013,11.51,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,22.773,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g transform="matrix(.013,0,0,-0.013,29.013,0)"><path d="M113 -12C146 -12 170 11 170 46C170 78 146 103 114 103S58 78 58 46C58 11 82 -12 113 -12Z"></path></g><g transform="matrix(.013,0,0,-0.013,31.977,0)"><path d="M137 343C167 482 260 545 321 574C357 591 397 603 429 609L423 641C382 634 335 622 295 608C189 570 37 457 37 238C37 84 125 -12 242 -12C362 -12 447 89 447 209C447 311 374 393 267 393C247 393 226 386 204 376L137 343ZM227 337C318 337 361 256 361 173C361 105 336 22 258 22C176 22 126 120 126 240C126 266 127 291 132 310C155 323 189 337 227 337Z"></path></g></svg> and 0.4 of Example <a href="https://static.hindawi.com/articles/jfs/volume-2022/4284060/figures/#ex1">10</a>.</div>

Journal of Function Spaces

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Figure 8

Figure 8: Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator 